Page 265 - Process Modelling and Simulation With Finite Element Methods
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252        Process Modelling and Simulation with Finite Element Methods

                  El, edit center to (0.6,0.2) and set both semi axes to 0.1
                  E2, edit center to (-0.4,0.7) and set both semi axes to 0.1
                  E3, edit center to (0.4,-0.5) and set both semi axes to 0.1
                  E4, edit center to (-0.8,-0.2) and set both semi axes to 0.1
                  Create a composite “Swiss cheese” object COl=COl-EI-E2-E3-E4
                  Re-draw ellipses El-E4  as above, to fill the “wholes” with four
                  domains.
                  Apply
                  OK
          The rough entry of  the vertices is corrected by the ability to  edit the analytical
          geometry features for graphical objects.  Our closed curved is not quite a circle,
          but  then  neither  are ECT  systems once the  electrodes are  installed.  The  12
          segments of  the boundary can be  assigned individual boundary conditions and
          also are domains available for post processing. Now for the boundary conditions.
          Pull down the Boundary menu and select Boundary Settings.


              Boundary Mode
                     Set boundary 24 as Dirichlet, R=l-phi
                     Set boundaries 5,6,21 as Dirichlet, R=phi
                     Set boundaries 1,2,9,12,15,16,27,28 as Neumann, G=O
                     APPlY
                     OK

          The  caption of  Figure  7.1  explains that  the  system  above has  four Dirichlet
          boundary  segments,  one  of  which  has  fired,  and  the  other  three  are  held  at
          ground.  All  other boundary segments are  insulated.  The charge on  the four
          Dirichlet boundaries is computed according to (7.4).
          Now pull down the Subdomain menu and select Subdomain settings.

              Subdomain Mode         r                 F         d,
              Subdomain 1           -eO*phix  -eO*phiy   0       1
              Subdomain 2           -e2*phix  -e2*phiy   0       1
              Subdomain 3           -e3*phix  -e3*phiy   0       1
              Subdomain 4           -e4*phix  -e4*phiy   0       1
              Subdomain 5           -el*phix  -el*phiy   0       1
                     Apply
                     OK
          Accept the  standard mesh parameters and  hit  the  mesh  button  on  the  toolbar
          (triangle).
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